I gave a talk last week before the Fractal Research Group at UCR. The goal was to introduce my colleagues to the Assouad dimension, and to share some of the more interesting and/or surprising results. My notes (typos and all) are available for those that are interested. During my talk, I managed to get through the sections on homogeneity and the Assouad dimension, including most of the examples involving orthogonal sequences. I did not have time to discuss the Laakso graph. As further reading, I suggest James Robinson’s Dimensions, Embeddings, and Attractors—my notes are shamelessly plagarized from chapter 9 of that volume.

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